Gradient Crystal Plasticity: A Grain Boundary Model for Slip Transmission
Interaction between dislocations and grain boundaries (GBs) in the forms of dislocation absorption, emission, and slip transmission at GBs significantly affects size-dependent plasticity in fine-grained polycrystals. Thus, it is vital to consider those GB mechanisms in continuum plasticity theories....
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doaj-c7eab5c2b5e048f1954f1e321ef210952020-11-25T02:55:10ZengMDPI AGMaterials1996-19442019-11-011222376110.3390/ma12223761ma12223761Gradient Crystal Plasticity: A Grain Boundary Model for Slip TransmissionXiang-Long Peng0Gan-Yun Huang1Swantje Bargmann2Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300350, ChinaDepartment of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300350, ChinaChair of Solid Mechanics, School of Mechanical Engineering and Safety Engineering, University of Wuppertal, 42119 Wuppertal, GermanyInteraction between dislocations and grain boundaries (GBs) in the forms of dislocation absorption, emission, and slip transmission at GBs significantly affects size-dependent plasticity in fine-grained polycrystals. Thus, it is vital to consider those GB mechanisms in continuum plasticity theories. In the present paper, a new GB model is proposed by considering slip transmission at GBs within the framework of gradient polycrystal plasticity. The GB model consists of the GB kinematic relations and governing equations for slip transmission, by which the influence of geometric factors including the misorientation between the incoming and outgoing slip systems and GB orientation, GB defects, and stress state at GBs are captured. The model is numerically implemented to study a benchmark problem of a bicrystal thin film under plane constrained shear. It is found that GB parameters, grain size, grain misorientation, and GB orientation significantly affect slip transmission and plastic behaviors in fine-grained polycrystals. Model prediction qualitatively agrees with experimental observations and results of discrete dislocation dynamics simulations.https://www.mdpi.com/1996-1944/12/22/3761slip transmissionstrain gradientcrystal plasticitysize effectsgrain boundary |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Xiang-Long Peng Gan-Yun Huang Swantje Bargmann |
spellingShingle |
Xiang-Long Peng Gan-Yun Huang Swantje Bargmann Gradient Crystal Plasticity: A Grain Boundary Model for Slip Transmission Materials slip transmission strain gradient crystal plasticity size effects grain boundary |
author_facet |
Xiang-Long Peng Gan-Yun Huang Swantje Bargmann |
author_sort |
Xiang-Long Peng |
title |
Gradient Crystal Plasticity: A Grain Boundary Model for Slip Transmission |
title_short |
Gradient Crystal Plasticity: A Grain Boundary Model for Slip Transmission |
title_full |
Gradient Crystal Plasticity: A Grain Boundary Model for Slip Transmission |
title_fullStr |
Gradient Crystal Plasticity: A Grain Boundary Model for Slip Transmission |
title_full_unstemmed |
Gradient Crystal Plasticity: A Grain Boundary Model for Slip Transmission |
title_sort |
gradient crystal plasticity: a grain boundary model for slip transmission |
publisher |
MDPI AG |
series |
Materials |
issn |
1996-1944 |
publishDate |
2019-11-01 |
description |
Interaction between dislocations and grain boundaries (GBs) in the forms of dislocation absorption, emission, and slip transmission at GBs significantly affects size-dependent plasticity in fine-grained polycrystals. Thus, it is vital to consider those GB mechanisms in continuum plasticity theories. In the present paper, a new GB model is proposed by considering slip transmission at GBs within the framework of gradient polycrystal plasticity. The GB model consists of the GB kinematic relations and governing equations for slip transmission, by which the influence of geometric factors including the misorientation between the incoming and outgoing slip systems and GB orientation, GB defects, and stress state at GBs are captured. The model is numerically implemented to study a benchmark problem of a bicrystal thin film under plane constrained shear. It is found that GB parameters, grain size, grain misorientation, and GB orientation significantly affect slip transmission and plastic behaviors in fine-grained polycrystals. Model prediction qualitatively agrees with experimental observations and results of discrete dislocation dynamics simulations. |
topic |
slip transmission strain gradient crystal plasticity size effects grain boundary |
url |
https://www.mdpi.com/1996-1944/12/22/3761 |
work_keys_str_mv |
AT xianglongpeng gradientcrystalplasticityagrainboundarymodelforsliptransmission AT ganyunhuang gradientcrystalplasticityagrainboundarymodelforsliptransmission AT swantjebargmann gradientcrystalplasticityagrainboundarymodelforsliptransmission |
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1724717888252674048 |